{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:HQRBYH4NBYTFPHLNUA6JVLNJPG","short_pith_number":"pith:HQRBYH4N","schema_version":"1.0","canonical_sha256":"3c221c1f8d0e26579d6da03c9aada97989d647e6904ff365c8f6d372b995d6b3","source":{"kind":"arxiv","id":"2501.00082","version":2},"attestation_state":"computed","paper":{"title":"Symmetry of meromorphic differentials produced by involution identity, and relation to integer partitions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.CO","math.MP"],"primary_cat":"math.CV","authors_text":"Alexander Hock (Heidelberg), Raimar Wulkenhaar (M\\\"unster), Sergey Shadrin (Amsterdam)","submitted_at":"2024-12-30T16:50:28Z","abstract_excerpt":"We prove that meromorphic differentials $\\omega^{(0)}_n(z_1,...,z_n)$ which are recursively generated by an involution identity are symmetric in all their arguments $z_1,...,z_n$. The proof involves an intriguing combinatorial identity between integer partitions into given number of parts."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2501.00082","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2024-12-30T16:50:28Z","cross_cats_sorted":["math-ph","math.CO","math.MP"],"title_canon_sha256":"e085393705a725b926f92c2e506baa92192b7f73755cf9f49814ff8d33aea691","abstract_canon_sha256":"29d2f7169a4e96ff193190460905951203a4b964c52117566c444f6a7829b475"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:59:02.127895Z","signature_b64":"7lR0c6QN0fTZyflIUNDXF6RRbXcQbW69OeHvoilDca3rbQCZmgIrl5+RmfmPxtDDPaBV4bicNb3sWGdKMGHGBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3c221c1f8d0e26579d6da03c9aada97989d647e6904ff365c8f6d372b995d6b3","last_reissued_at":"2026-07-05T09:59:02.127538Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:59:02.127538Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Symmetry of meromorphic differentials produced by involution identity, and relation to integer partitions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.CO","math.MP"],"primary_cat":"math.CV","authors_text":"Alexander Hock (Heidelberg), Raimar Wulkenhaar (M\\\"unster), Sergey Shadrin (Amsterdam)","submitted_at":"2024-12-30T16:50:28Z","abstract_excerpt":"We prove that meromorphic differentials $\\omega^{(0)}_n(z_1,...,z_n)$ which are recursively generated by an involution identity are symmetric in all their arguments $z_1,...,z_n$. The proof involves an intriguing combinatorial identity between integer partitions into given number of parts."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.00082","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2501.00082/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2501.00082","created_at":"2026-07-05T09:59:02.127601+00:00"},{"alias_kind":"arxiv_version","alias_value":"2501.00082v2","created_at":"2026-07-05T09:59:02.127601+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.00082","created_at":"2026-07-05T09:59:02.127601+00:00"},{"alias_kind":"pith_short_12","alias_value":"HQRBYH4NBYTF","created_at":"2026-07-05T09:59:02.127601+00:00"},{"alias_kind":"pith_short_16","alias_value":"HQRBYH4NBYTFPHLN","created_at":"2026-07-05T09:59:02.127601+00:00"},{"alias_kind":"pith_short_8","alias_value":"HQRBYH4N","created_at":"2026-07-05T09:59:02.127601+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/HQRBYH4NBYTFPHLNUA6JVLNJPG","json":"https://pith.science/pith/HQRBYH4NBYTFPHLNUA6JVLNJPG.json","graph_json":"https://pith.science/api/pith-number/HQRBYH4NBYTFPHLNUA6JVLNJPG/graph.json","events_json":"https://pith.science/api/pith-number/HQRBYH4NBYTFPHLNUA6JVLNJPG/events.json","paper":"https://pith.science/paper/HQRBYH4N"},"agent_actions":{"view_html":"https://pith.science/pith/HQRBYH4NBYTFPHLNUA6JVLNJPG","download_json":"https://pith.science/pith/HQRBYH4NBYTFPHLNUA6JVLNJPG.json","view_paper":"https://pith.science/paper/HQRBYH4N","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2501.00082&json=true","fetch_graph":"https://pith.science/api/pith-number/HQRBYH4NBYTFPHLNUA6JVLNJPG/graph.json","fetch_events":"https://pith.science/api/pith-number/HQRBYH4NBYTFPHLNUA6JVLNJPG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HQRBYH4NBYTFPHLNUA6JVLNJPG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HQRBYH4NBYTFPHLNUA6JVLNJPG/action/storage_attestation","attest_author":"https://pith.science/pith/HQRBYH4NBYTFPHLNUA6JVLNJPG/action/author_attestation","sign_citation":"https://pith.science/pith/HQRBYH4NBYTFPHLNUA6JVLNJPG/action/citation_signature","submit_replication":"https://pith.science/pith/HQRBYH4NBYTFPHLNUA6JVLNJPG/action/replication_record"}},"created_at":"2026-07-05T09:59:02.127601+00:00","updated_at":"2026-07-05T09:59:02.127601+00:00"}